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Math Formulas

Maths formulas, for all the concepts covered under different classes (6, 7, 8, 9, 10, 11, and 12), as per the CBSE syllabus are provided here by our expert teachers. To solve the mathematical problems easily, students should learn and remember the basic formulas based on certain fundamentals such as algebra, arithmetic, and geometry. Also, check with Maths Syllabus here for all classes.

Addition, subtraction, multiplication and division are easy; what if you come across derivation, calculus and geometry? You would need formulas to solve them. Here, at BYJU’S, you get a unique way of solving the maths problem, which will make you learn how the equation came into existence. This is the better way of memorizing and applying the formulas.

Table of Contents:

We present you with a host of formulas (more than 400) for your reference to solve all important mathematical operations and questions. Also, each formula here is given with solved examples.

List of Maths Formulas (for All Concepts)

2cosacosb Formula 30-60-90 Formulas
Absolute Value Formula Addition Formula
Algebra Formulas Algebraic Expressions Formula
Angle Formula Annulus Formula
Anova Formula Antiderivative Formula
Arc Length Formula Arccot Formula
Arctan Formula Area Formula for Quadrilaterals
Area Formulas Area of a Circle Formula
Area of a Pentagon Formula Area Of A Sector Of A Circle Formula
Area of a Square Formula Area of a Trapezoid Formula
Area Of An Octagon Formula Area of Regular Polygon Formula
Area Under the Curve Formula Arithmetic Mean Formula
Arithmetic Sequence Explicit Formula Arithmetic Sequence Formula
Arithmetic Sequence Recursive Formula Associative Property Formula
Asymptote Formula Average Deviation Formula
Average Rate of Change Formula Axis of Symmetry Formula
Basic Math Formulas Bayes Theorem Formula
Binary Formula Binary to Decimal Formula
Binomial Distribution Formula Binomial Expansion Formula
Binomial Probability Formula Binomial Theorem Formula
Calculus Formulas Celsius Formula
Central Angle of a Circle Formula Central Limit Theorem Formula
Centroid of a Trapezoid Formula Chain Rule Formula
Change of Base Formula Chi Square Formula
Circle Graph Formula Circumference Formula
Coefficient of Determination Formula Coefficient of Variation Formula
Cofactor Formula Cofunction Formulas
Coin Toss Probability Formula Combination Formula
Commutative Property Formula Completing the Square Formula
Complex Number Division Formula Complex Number Formula
Complex Number Power Formula Compound Interest Formula
Conditional Probability Formula Confidence Interval Formula
Consecutive Integers Formula Correlation Coefficient Formula
Cos Inverse Formula Cos Square theta Formula
Cos Theta Formula Cos Double Angle Formula
Cosec Cot Formula Cosecant Formula
Cosine Formula Cot Half Angle Formula
Cot-Tan formula Cotangent Formula
Covariance Formula Covariance Matrix Formula
Cp Formula Cpk Formula
Cross Product Formula Cube Formula
Cube Root Formula Cubic Equation Formula
Daily Compound Interest Formula De Moivre Formula
Decay Formula Decimal to Binary Formula
Decimal to fraction Formula Definite Integral Formula
Degree and Radian Measure Formula Degrees of Freedom Formula
Derivative Formula Determinant Formula
Diagonal Formula Diagonal of a Cube Formula
Diagonal of Parallelogram Formula Diagonal Of A Polygon Formula
Diagonal Of A Square Formula Diameter Formula
Difference of Cubes Formula Difference of Squares Formula
Difference Quotient Formula Differential Equations formula
Differentiation and Integration Formula Direct Variation Formula
Direction of a Vector Formula Discount Formula
Discriminant Formula Distributive Property Formula
Division Formula Dot Product Formula
Double Angle Formulas Double Time Formula
Effect Size Formula Ellipse Formula
Empirical Probability Formula Equation Formula
Equation of a Circle Formula Equation of a Line Formula
Equilateral Triangle Formula Euler Maclaurin Formula
Euler’s Formula Exponential Distribution Formula
Exponential Equation Formula Exponential Formula
Exponential Function Formula Exponential Growth Formula
Exponents Formula F Test Formula
Factorial Formula Factoring Formulas
Factoring Trinomials Formula Fahrenheit to Celsius Formula
Fibonacci Formula Foil Formula
Fourier Series Formula Frequency Distribution Formula
Frustum of a Regular Pyramid Formula Frustum of a Right Circular Cone Formula
Function Formulas Function Notation Formula
Gaussian Distribution Formula Geometric Distribution Formula
Geometric Mean Formula Geometric Sequence Formula
Geometric Series Formula Geometry Formulas
Graph Formula Graphs of Trigonometric Functions Formula
Great Circle Formula Gross Profit Formula
Half Angle formula Half Life Formula
HARMONIC MEAN FORMULA Height of a Parallelogram Formula
Hexagon Formula Hexagonal Pyramid Formula
HYPERBOLA FORMULA Hyperbolic Function Formula
Hypergeometric Distribution Formula Hypothesis Testing Formula
Implicit Differentiation Formula Infinite Geometric Series Formula
Infinite Series Formula Integral Calculus Formula
Integral Formulas Integration By Parts Formula
Integration by Substitution Formula Interest Formula
Interpolation Formula Interquartile Range Formula
Inverse Function Formula Inverse Hyperbolic Functions Formula
Inverse Matrix Formula Inverse Tangent Formula
Inverse Trigonometric Formulas Inverse Variation Formula
Isosceles Trapezoid Formula Isosceles Triangle Perimeter Formula
Lagrange Interpolation Formula Lateral Area Formula
Law of Cosines Formula Law Of Sines And Cosines Formula
Law of Sines Formula Law of tangent formula
LCM Formula Limit Formula
Line of Best Fit Formula Linear Approximation Formula
Linear Correlation Coefficient Formula Linear Equations Formula
Linear Function Formula Linear Interpolation Formula
Linear Regression Formula Loan Balance Formula
Logarithm Formula Maclaurin Series Formula
Magnitude of a Vector Formula Margin of Error Formula
Area Of Isosceles Triangle Perimeter of Rectangle
Matrix Formula Mean Absolute Deviation Formula
Mean Deviation Formula Mean Median Mode Formula
Mean Value Theorem Formula Midpoint Formula
Monthly Compound Interest Formula Multiple Angle Formulas
N Choose K Formula Natural Log Formula
Newton’s Method Formula Normal Distribution Formula
Octagon Formula Orthocenter Formula
Parabola Formula Parallel Line Formula
Parallelogram Formula Partial Differential Equations
Pearson Correlation Formula Percent Composition Formula
Percent Decrease Formula Percent Difference Formula
Percent Error Formula Percentage Change Formula
Percentage Decrease Formula Percentage Formula
Percentage Increase Formula Percentage Yield Formula
Percentile Formula Perfect Square Formula
Perfect Square Trinomial Formula Perimeter Formulas
Perimeter of a Kite Formula Perimeter of a Parallelogram Formula
Perimeter of a Square Formula Perimeter of a Trapezoid Formula
Perimeter of a Triangle Formula Perimeter of Hexagon Formula
Perimeter of Rhombus Formula Periodic Formulas
Permutation Formula Permutations And Combinations Formulas
Perpendicular Line Formula Pi Formulas
Platonic Solids Formula Point Gradient Formula
Point of Intersection Formula Point Slope Form Formula
Poisson Distribution Formula Polygon Formula
Polynomial Formula Population Mean Formula
Prime Number Formula Prism Formula
Probability Distribution Formula The probability Distribution Function Formula
Probability Formulas Product Rule Formula
Product to Sum Formula Profit Formula
Profit Margin Formula Proportion Formula
Pyramid Formula Pythagorean Theorem Formula
Pythagorean Triples Formula Quadratic Function Formula
Quadratic Interpolation Formula Quadrilateral Formulas
Quartile Formula Quotient Rule Formula
R Squared Formula Radians to Degrees Formula
Radical Formula Radius Formula
Radius of Curvature Formula Rate of Change Formula
RATIO ANALYSIS FORMULA Ratio Formula
Rectangle Formula Rectangular Parallelepiped Formula
Recursive Formula Reduction Formula
Regression Sum of Squares Formula Regular Hexagon Formula
Regular Square Pyramid Formula Regular Tetrahedron Formula
RELATIVE FREQUENCY FORMULA Relative Standard Deviation Formula
Resistors in Parallel Formula RESULTANT VECTOR FORMULA
Retention Factor Formula Revenue Formula
Rhombus Formula Riemann Sum Formula
Right Angle Formula Right Triangle Formula
Root Mean Square Formula Rotation Formula
Sample Mean Formula Sample Size Formula
Sampling Error Formula Scalene Triangle Formula
Scientific Notation Formula Secant Formula
Secant Square x Formula Selling Price Formula
Sequences and Series Formulas Sequence Formula
Series Formula Set Formulas
SIDE ANGLE SIDE FORMULA Signal to Noise Ratio Formula
Simple Interest Formula Simpson’s Rule Formula
Sin 30 Formula Sin Cos Formulas
Sin squared x formula Sin Tan formula
Sin Theta Formula Sin to Cos Formula
Sin2x Formula Sine Cosine Tangent Formula
Sine Formula Sine Half Angle Formula
Sine Rule Formula Skewness Formula
Slant Asymptote Formula Slope Formula
Slope Intercept Form Formula Slope of the Secant Line Formula
Sphere formula Spherical Cap Volume Formulas
Spherical Sector Formula Spherical Segment Formula
Spherical Wedge and Spherical Lune Formula Square Footage Formula
Square Formula Square Root Formula
Square Root Property Formula Standard Deviation Formula
Standard Error Formula Standard Form Formula
Statistical Significance Formula Statistics Formulas
Stirling Formula Subtraction Formulas
Sum of Arithmetic Sequence Formula Sum of Cubes Formula
Sum of Squares Formula SUMMATION FORMULA
Surface Area Formulas Surface Area of a Cone Formula
Surface Area of a Cube Formula Surface Area of a Cylinder Formula
Surface Area of a Prism Formula Surface Area of a Pyramid Formula
Surface Area of a Rectangular Prism Formula Surface Area of a Sphere Formula
Surface Area of a Square Pyramid Formula Surface Area of a Triangular Prism Formula
Surface Area of Circle Formula Surface Area of Hemisphere formula
Surface Area of a Rectangle Formula T-Distribution Formula
T-Test Formula Tan Theta formula
Tan2x Formula Tangent 3 Theta Formula
Tangent Addition Formula Tangent Circle Formula
Tangent Formula Tangent Line Formula
Tangential Quadrilateral Formula Taylor Series Formula
Temperature Conversion Formula The Distance Formula
Trajectory Formula Trapezoid formula
Trapezoidal Rule Formula Triangle Formula
Triangular Pyramid Formula Trigonometric Function Formulas
U Substitution Formula Uniform Distribution Formula
Unit Circle Formula Unit Rate Formula
Unit Vector Formula Variance Formula
Vector Formulas Vector Projection Formula
Vertex Formula Vieta’s Formula
Volume Charge Density Formula Volume Formulas
Volume of a Cone Formula Volume of a Cube Formula
Volume Of A Cylinder Formula Volume of a Pyramid Formula
Volume of a Rectangular Prism Formula Volume Of A Sphere Formula
Volume of a Square Pyramid Formula Volume of a Triangular Prism Formula
Volume of an Ellipsoid Formula Volume of Parallelepiped Formula
Weighted Average Formula Weighted Mean Formula
X and Y Intercept Formula X Intercept Formula
Y Intercept Formula Z Score Formula

The above given formulas are very helpful for students to solve problems based on them. All the formulas are also provided here, along with solved examples to help you understand the application of formulas.

See the Maths videos here for a more comprehensive approach to solve maths problems using formulas.

Feel free to use our directory of formulas for your homework.

Math Formulas From Class 6 to Class 12

Basic Maths Formulas

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The Math Formula Chart has all the basic math formulas, below:

Maths formulas

Maths formulas 2

Maths formulas 3

Formulas table

Go through the table given below to learn all the basic maths formulas.

Perimeter
  1. Square
  2. Rectangle
  1. P = 4a
  2. P = 2(l+b)
Circumference
  1. Circle
  1. C = 2 (pi) r
Area
  1. Square
  2. Rectangle
  3. Triangle
  4. Trapezoid
  5. Circle
  1. A = a2
  2. A = l x b
  3. A = ½(b x h)
  4. A = ((b1 +b2 ) x h) / 2
  5. A = π x r 2
Surface Area
  1. Cube
  2. Cylinder
  3. Cone
  4. Sphere
  1. S = 6l2
  2. CSA = 2 x π x r x h
  3. CSA = π x r x l
  4. S = 4 x π x r 2
Volume
  1. Cylinder
  2. Cone
  3. Sphere
  1. V = πr 2h
  2. V =1/3 πr 2h
  3. V = 4/3 x π x r3 
Pythagoras Theorem a2 + b2 = c2
Distance Formula d = √[(x2 – x1)2 +(y2 – y1)2]
Slope of a line m = y2 – y1 / x2 – x1
Mid- Point Formula M = [(x1 + x2 )/ 2 , (y1 + y2 )/ 2]
Algebraic Formula
  1. Pythagorean theorem
  2. Slope-intercept form of the equation of a line
  3. Distance formula
  4. Total cost
  5. Quadratic formula
  6. Laws of Exponents
  7. Fractional Exponents
  1. a2 + b2 = c2
  2. y = mx + c
  3. d = rt
  4. total cost = (number of units) × (price per unit)
  5. X = [-b ± √(b2 – 4ac)] /2a
  6. am x b m = (a x b)m; am x a n = (a)m+n
  7. a1/2 = √a
Trigonometric Formulas
  1. Sine Function
  2. Cosine Function
  3. Tangent Function
  1. Sin x = Opposite Side/ Hypotenuse
  2. Cos X = Adjacent Side/ Hypotenuse
  3. Tan x = Opposite Side/ Adjacent Side

Additional guidelines based on all Math formulas are given on our site. Students can also get help from our tutors who are available 24/7.

Frequently Asked Questions – FAQs

Q1

What are the basic Maths formulas?

The basic Maths formulas include arithmetic operations, where we learn to add, subtract, multiply and divide. Also, algebraic identities help to solve equations. Some of the formulas are:
(a + b)2 = a2 + b2 + 2ab
(a – b)2 = a2 + b2 – 2ab
a2 – b2 = (a + b) (a – b)
Q2

What are the fundamental topics for formulas in Maths?

The fundamental concepts we learn for maths formulas are:
Area and perimeter of shapes
Surface areas and Volumes
Algebra
Powers and exponents
Fractions
Percentage, etc.
Q3

What are the important Maths formulas?

The important formulas are related to algebra, Pythagoras theorem, series and sequence, mensuration, calculus, probability and statistics, trigonometry, matrices, etc.
Q4

What are the area and perimeter formulas?

The area of a shape defines the region covered by it whereas the perimeter gives the total length of the outer boundary of the shape. The area is measured in square units but the perimeter is denoted by the unit of the dimension. Suppose, the formula for the area of a square is side2 sq. units. and perimeter of a square is 4(side) units.
Q5

What is a3 – b3 formula?

The formula for a3 – b3 is given by:
a3 – b3 = (a – b) (a2 + ab + b2 )
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